Ordered topological vector spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Harper & Row
1967
|
| Series: | Harper's series in modern mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 228 S. |
Staff View
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| 245 | 1 | 0 | |a Ordered topological vector spaces |c Anthony L. Peressini |
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Record in the Search Index
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| adam_text | Contents
Preface ix
Chapter 1. Ordered Vector Spaces 1
1. BASIC DEFINITIONS AND LATTICE THEORETIC FORMULAE;
EXAMPLES 2
2. LINEAR MAPPINGS ON ORDERED VECTOR SPACES 19
3. CONES WITH BASES; THE CHOQUET KENDALL THEOREM 24
4. LATTICE IDEALS; BANDS 35
5. CONVERGENCE IN VECTOR LATTICES 43
Chapter 2. Ordered Topological Vector Spaces 59
1. NORMAL CONES 60
2. THE CONTINUITY OF POSITIVE LINEAR MAPPINGS;
EXTENSION THEOREMS 78
3. CONVERGENCE THEOREMS 90
4. LOCALLY CONVEX LATTICES 101
Chapter 3. Intrinsic Topologies of Ordered Vector Spaces 117
1. THE ORDER TOPOLOGY 118
2. THE TOPOLOGY OF UNIFORM CONVERGENCE ON ORDER
BOUNDED SETS 126
vii
Viii CONTENTS
Chapter 4. Selected Topics in the Theory of Ordered
Topological Vector Spaces 138
1. RELATIONS BETWEEN ORDER COMPLETENESS AND
TOPOLOGICAL COMPLETENESS IN ORDERED
TOPOLOGICAL VECTOR SPACES 138
2. TOPOLOGICAL PROPERTIES OF ORDER CONVERGENCE 160
3. ORDER PROPERTIES OF SPACES OF CONTINUOUS LINEAR
MAPPINGS 168
4. SPECIAL POINTS AND SUBSETS OF THE CONE 183
Appendix: Summary of Locally Convex Space Theory 191
Bibliography 205
Index 219
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:53:41Z |
| institution | BVB |
| language | English |
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| physical | X, 228 S. |
| publishDate | 1967 |
| publishDateSearch | 1967 |
| publishDateSort | 1967 |
| publisher | Harper & Row |
| record_format | marc |
| series2 | Harper's series in modern mathematics |
| spelling | Peressini, Anthony L. Verfasser aut Ordered topological vector spaces Anthony L. Peressini New York [u.a.] Harper & Row 1967 X, 228 S. txt rdacontent n rdamedia nc rdacarrier Harper's series in modern mathematics Espaces linéaires topologiques Linear topological spaces Ordered topological spaces Geordneter Vektorraum (DE-588)4156756-0 gnd rswk-swf Topologischer Vektorraum (DE-588)4122383-4 gnd rswk-swf Geordneter Vektorraum (DE-588)4156756-0 s DE-604 Topologischer Vektorraum (DE-588)4122383-4 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001946813&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Peressini, Anthony L. Ordered topological vector spaces Espaces linéaires topologiques Linear topological spaces Ordered topological spaces Geordneter Vektorraum (DE-588)4156756-0 gnd Topologischer Vektorraum (DE-588)4122383-4 gnd |
| subject_GND | (DE-588)4156756-0 (DE-588)4122383-4 |
| title | Ordered topological vector spaces |
| title_auth | Ordered topological vector spaces |
| title_exact_search | Ordered topological vector spaces |
| title_full | Ordered topological vector spaces Anthony L. Peressini |
| title_fullStr | Ordered topological vector spaces Anthony L. Peressini |
| title_full_unstemmed | Ordered topological vector spaces Anthony L. Peressini |
| title_short | Ordered topological vector spaces |
| title_sort | ordered topological vector spaces |
| topic | Espaces linéaires topologiques Linear topological spaces Ordered topological spaces Geordneter Vektorraum (DE-588)4156756-0 gnd Topologischer Vektorraum (DE-588)4122383-4 gnd |
| topic_facet | Espaces linéaires topologiques Linear topological spaces Ordered topological spaces Geordneter Vektorraum Topologischer Vektorraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001946813&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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